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Two point masses m and 2m are kept at po...

Two point masses `m` and `2m` are kept at points `A` and `B` as shown. `E` represents magnitude of gravitational field strength and `V` the gravitational potential. As we move from `A` to `B`

A

`E` will first decreases then increases

B

`E` will first increases then decreases

C

`V` will first decreases then increases

D

`V` will first increases then decrease

Text Solution

Verified by Experts

The correct Answer is:
A, D
`E` due to point mass is `E = (Gm)/(r^(2))`
As `r rarr 0,E rarr prop`
So, just over the point masses, `E = oo`. Hence, in moving from one point mass to other point mass, `E` first decreases and then increases.
`V` due to a point mass is
`V = - (Gm)/(r )`
As `r rarr 0, V rarr - oo`
So, just over the point mass, `V` is `- oo`. Hence, in moving from one point mass to other point mass, `V` first increase and then decrease .
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